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1023123130302 = 2371313713677751
BaseRepresentation
bin11101110001101101110…
…01000000011110111110
310121210212012200011002110
432320312321000132332
5113230324010132202
62102003303234450
7133626642055050
oct16706671003676
93553765604073
101023123130302
113649a4374a39
12146355a48a26
1375631a09670
143773b4278d0
151b93179926c
hexee36e407be

1023123130302 has 64 divisors (see below), whose sum is σ = 2536840018944. Its totient is φ = 267865056000.

The previous prime is 1023123130297. The next prime is 1023123130307. The reversal of 1023123130302 is 2030313213201.

It is an interprime number because it is at equal distance from previous prime (1023123130297) and next prime (1023123130307).

It is a super-2 number, since 2×10231231303022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023123130307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6764074 + ... + 6913677.

It is an arithmetic number, because the mean of its divisors is an integer number (39638125296).

Almost surely, 21023123130302 is an apocalyptic number.

1023123130302 is an abundant number, since it is smaller than the sum of its proper divisors (1513716888642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023123130302 is a wasteful number, since it uses less digits than its factorization.

1023123130302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677913.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1023123130302 its reverse (2030313213201), we get a palindrome (3053436343503).

The spelling of 1023123130302 in words is "one trillion, twenty-three billion, one hundred twenty-three million, one hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 137 182 273 274 411 546 822 959 1781 1918 2877 3562 5343 5754 10686 12467 24934 37401 74802 13677751 27355502 41033253 82066506 95744257 177810763 191488514 287232771 355621526 533432289 574465542 1066864578 1244675341 1873851887 2489350682 3734026023 3747703774 5621555661 7468052046 11243111322 13116963209 24360074531 26233926418 39350889627 48720149062 73080223593 78701779254 146160447186 170520521717 341041043434 511561565151 1023123130302